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Finding the Fourth Proportional to 306,046.20, 459,069.30 and 260,775.30

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Solution

The fourth proportional to 306,046.20, 459,069.30 and 260,775.30 is: 391,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,046.20 : 459,069.30 = 260,775.30 : x
  2. Step 2: Convert to fraction form
    306,046.20/459,069.30 = 260,775.30/x
  3. Step 3: Cross multiply
    306,046.20x = 459,069.30 × 260,775.30
  4. Step 4: Simplify right side
    306,046.20x = 119,713,934,428.29
  5. Step 5: Solve for x
    x = 119,713,934,428.29/306,046.20
  6. Step 6: Final answer
    x = 391,162.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.